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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2015, Volume 15, Issue 1, Pages 50–56
DOI: https://doi.org/10.18500/1816-9791-2015-15-1-50-56 (Mi isu564) 		 
Mathematics

The solution of the homogeneous Riemann boundary value problem with a countable set of points of discontinuity of the first kind its coefficient

R. B. Salimov

Kazan State Architecture and Building University, 1, Zelenaya str., 420043, Kazan, Russia
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DOI: https://doi.org/10.18500/1816-9791-2015-15-1-50-56
Abstract: We consider the Riemann homogeneous boundary value problem with a countable set of points of discontinuity of the first kind in the case, when it is required to find two functions, analytic, respectively, in the upper and lower half-plane, for a given linear boundary condition on the real axis, connecting the boundary values of the unknown functions.
Key words: Riemann boundary value problem, analytic functions, finite index.
Bibliographic databases:
Document Type: Article
UDC: 501.1
Language: Russian
Citation: R. B. Salimov, “The solution of the homogeneous Riemann boundary value problem with a countable set of points of discontinuity of the first kind its coefficient”, Izv. Saratov Univ. Math. Mech. Inform., 15:1 (2015), 50–56
Citation in format AMSBIB
\Bibitem{Sal15}
\by R.~B.~Salimov
\paper The solution of the homogeneous Riemann boundary value problem with~a~countable set of points of discontinuity of the first kind its coefficient
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2015
\vol 15
\issue 1
\pages 50--56
\mathnet{http://mi.mathnet.ru/isu564}
\crossref{https://doi.org/10.18500/1816-9791-2015-15-1-50-56}
\elib{https://elibrary.ru/item.asp?id=23144240}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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